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Finding the Fourth Proportional to 13,870.56, 20,794.32 and 6,471.12

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Solution

The fourth proportional to 13,870.56, 20,794.32 and 6,471.12 is: 9,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.56 : 20,794.32 = 6,471.12 : x
  2. Step 2: Convert to fraction form
    13,870.56/20,794.32 = 6,471.12/x
  3. Step 3: Cross multiply
    13,870.56x = 20,794.32 × 6,471.12
  4. Step 4: Simplify right side
    13,870.56x = 134,562,540.04
  5. Step 5: Solve for x
    x = 134,562,540.04/13,870.56
  6. Step 6: Final answer
    x = 9,701.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.